1) (3х-1)(3х+1)+(3х+1)²=(3х+1)(3х-1+3х+1)=6х·(3х+1)
2)25а-ав²=а(25-в²)=а(5-а)(5+а)
3)х³-ху²-6у²+6х²=х(х²-у²)-6(у²-х²)=х(х²-у²)+6(х²-у²)=(х²-у²)(х+6)=(х-у)(х+у)(х+6)
<u>x-3 </u> ≥ 0
x+3
x+3≠0
x≠-3
<u>x-3 </u>≥0
x+3
(x-3)(x+3)≥0
x=3 x=-3
+ - +
---------- -3 ------------ 3 ----------------
\\\\\\\\\\\ \\\\\\\\\\\\\\\\
x∈(-∞; -3)U[3; +∞)
D(y)=(-∞; -3)U[3; +∞) - область определения функции.
1)20-2х = х-1
x+2x=20+1
3x=21
x=7
2)8х-3 = 5х+6
8x-5x=6+3
3x=9
x=3
3)5х-9 = 7х-13
7x-5x=13-9
2x=4
x=2
4)10х-3 = х+6
10x-x=6+3
9x=9
x=1
5)2х-19 = 7х+31
7x-2x=-19-31
5x=-50
x=-10